Cremona's table of elliptic curves

2385 = 3² · 5 · 53

Field	Data	Notes
Atkin-Lehner	3+ 5+ 53-	Signs for the Atkin-Lehner involutions
Class	2385b	Isogeny class
Conductor	2385	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	22359375 = 33 · 56 · 53	Discriminant
Eigenvalues	1 3+ 5+  2  0  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-840,9581]	[a1,a2,a3,a4,a6]
j	2429341649307/828125	j-invariant
L	2.101706365846	L(r)(E,1)/r!
Ω	2.101706365846	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38160v2 2385c2 11925a2 116865i2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2385b2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	+	+	2	0	6	-6	4	-4	4	-8	2	6	10	8	-	-4	10	12	2	-4	8	16	8	-14

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Quadratic twists for elliptic curve 2385b2

-4	-3	5	-7	53
38160v2	2385c2	11925a2	116865i2	126405e2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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